Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives/average Value of a Function

For Students 9th - 10th
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
Activity
Texas Instruments

Texas Instruments: Integration

For Teachers 9th - 10th
This is a set of problems involving the concepts of integrals and antiderivatives. The problems are similar to those encountered during the third quarter of a typical calculus course.
Website
Harvey Mudd College

Harvey Mudd College: Tutorials Hmc Calculus Tutorial

For Students 9th - 10th
This site has tutorials on pre calculus and calculus. The integration tutorial is under the name antiderivative
Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives / Integration by Parts

For Students 9th - 10th
Good site with an example that is solved step by step for the student
Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives / Integration by Parts

For Students 9th - 10th
This site has worked out examples the student can examine.
Activity
Mathematics Archives

Math Archives: Antiderivatives

For Students 9th - 10th
This site from the University of Tennessee, Knoxville defines Improper Integrals and presents examples the student can work and then check online
Online Course
Massachusetts Institute of Technology

Mit: Calculus for Beginners and Artists

For Students 9th - 10th
Students learn about Calculus concepts through online notes, applets, and dialogs. Topics include derivatives, integrals, linear functions, and derivative applications.
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Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Advanced Integration Techniques

For Students 9th - 10th
Hotmath provides 23 practice problems dealing with advanced integration techniques. Each of the practice problems include a step-by-step guide for solving the integral.
Activity
Texas Instruments

Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus

For Teachers 9th - 10th
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
Website
Mathematics Archives

Math Archives: Calculus at the University of Tennessee Knoxville: 142 Table of Contents

For Students 9th - 10th
At this site the student can move to sites on various topics in calculus. The site then has a link to both a tutorial and example site
Handout
Other

Dans Math: Lessons: Calculus (Part 2)

For Students 9th - 10th
College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.
Handout
Wolfram Research

Wolfram Math World: Indefinite Integral

For Students 9th - 10th
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Activity
Other

Karl's Calculus Tutor: Methods of Integration

For Students 9th - 10th
This site provides a detailed overview of the various methods of integration. This first page covers the "gist" of the methods available, followed by much more detail on subsequent pages.
Graphic
Curated OER

University of Tennessee: Antiderivatives

For Students 9th - 10th
This site from the University of Tennessee, Knoxville defines Improper Integrals and presents examples the student can work and then check online
Activity
Texas Instruments

Texas Instruments: Let's Integrate All Things Easy

For Teachers 9th - 10th
This activity is designed to help students deal with the method of integration by parts. In this method, students usually have trouble figuring out what they should set u equal to.
Activity
Texas Instruments

Texas Instruments: Integration Crossing

For Teachers 9th - 10th
This worksheet allows the students the opportunity to learn how to use the graphing calculator to compute anti-derivatives.
Activity
Texas Instruments

Texas Instruments: The Region Between Two Curves

For Teachers 9th - 10th
This activity is an application of integration. Students use calculus to find the area of a region and the volumes of solids generated by the region. They use the CAS of their TI-89 and calculus to determine the exact answers.
Activity
Texas Instruments

Texas Instruments: Solving Differential Equations Using Euler

For Teachers 9th - 10th
This activity involves using the graphing calculator to find an approximate solution to a differential equation with Euler's Method, find the actual solution to the differential equation, and compare the two solutions.
Activity
Texas Instruments

Texas Instruments: Computing Indefinite Integrals

For Teachers 9th - 10th
Ideas for using Symbolic Math Guide (SMG) to help you learn to solve indefinite integration problems. The key transformations in SMG are substitution and integration by parts.
Activity
Texas Instruments

Texas Instruments: Sums of Rectangle Areas: Approximate Integrals

For Teachers 9th - 10th
This activity will show a function with rectangle areas on the graphing calculator.
Activity
Texas Instruments

Texas Instruments: Average Value

For Teachers 9th - 10th
The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...
Activity
Texas Instruments

Texas Instruments: Integration

For Teachers 9th - 10th
This activity explains how to input integrals into a graphing calculator.
Activity
Texas Instruments

Texas Instruments: Integral Test

For Teachers 9th - 10th
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
Activity
Texas Instruments

Texas Instruments: Sands of Time

For Teachers 9th - 10th
In this activity, students can use a graphing calculator to find a regression equation and then interpolate the data from the equation using integration. They will explore the length of day during the winter and summer solstice at...